About ambivalent groups
Ion Armeanu (1996)
Annales mathématiques Blaise Pascal
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Ion Armeanu (1996)
Annales mathématiques Blaise Pascal
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Yakov Berkovich (1994)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.
How, Guan Aun (2003)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Jinshan Zhang, Zhencai Shen, Dandan Liu (2010)
Czechoslovak Mathematical Journal
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For a finite group and a non-linear irreducible complex character of write . In this paper, we study the finite non-solvable groups such that consists of at most two conjugacy classes for all but one of the non-linear irreducible characters of . In particular, we characterize a class of finite solvable groups which are closely related to the above-mentioned question and are called solvable -groups. As a corollary, we answer Research Problem in [Y. Berkovich and L. Kazarin:...
James Beidleman, Mathew Ragland (2011)
Open Mathematics
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The purpose of this paper is to study the subgroup embedding properties of S-semipermutability, semipermutability, and seminormality. Here we say H is S-semipermutable (resp. semipermutable) in a group Gif H permutes which each Sylow subgroup (resp. subgroup) of G whose order is relatively prime to that of H. We say H is seminormal in a group G if H is normalized by subgroups of G whose order is relatively prime to that of H. In particular, we establish that a seminormal p-subgroup is...
Homer Bechtell (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Mohammad Reza Darafsheh, H. Sharifi (2007)
Mathematica Slovaca
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